TSTP Solution File: SWV140+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV140+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:22:41 EDT 2022
% Result : Theorem 1.74s 2.11s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWV140+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Thu Jun 16 07:01:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.80/1.18 *** allocated 10000 integers for termspace/termends
% 0.80/1.18 *** allocated 10000 integers for clauses
% 0.80/1.18 *** allocated 10000 integers for justifications
% 0.80/1.18 Bliksem 1.12
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Automatic Strategy Selection
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Clauses:
% 0.80/1.18
% 0.80/1.18 { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.80/1.18 { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.80/1.18 { ! gt( X, X ) }.
% 0.80/1.18 { leq( X, X ) }.
% 0.80/1.18 { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.80/1.18 { ! lt( X, Y ), gt( Y, X ) }.
% 0.80/1.18 { ! gt( Y, X ), lt( X, Y ) }.
% 0.80/1.18 { ! geq( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( Y, X ), geq( X, Y ) }.
% 0.80/1.18 { ! gt( Y, X ), leq( X, Y ) }.
% 0.80/1.18 { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.80/1.18 { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.80/1.18 { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.80/1.18 { gt( succ( X ), X ) }.
% 0.80/1.18 { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.80/1.18 { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.80/1.18 { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.80/1.18 { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.80/1.18 { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.80/1.18 { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ),
% 0.80/1.18 T ), X ) = T }.
% 0.80/1.18 { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3(
% 0.80/1.18 tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.80/1.18 { alpha10( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) =
% 0.80/1.18 a_select3( trans( X ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.80/1.18 , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.80/1.18 ) }.
% 0.80/1.18 { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.80/1.18 { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.80/1.18 { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.80/1.18 { alpha11( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 0.80/1.18 a_select3( inv( X ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.80/1.18 , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.80/1.18 .
% 0.80/1.18 { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.80/1.18 { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.80/1.18 { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.80/1.18 { alpha12( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ),
% 0.80/1.18 a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3(
% 0.80/1.18 X, U, U, W ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.80/1.18 , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.80/1.18 , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.80/1.18 { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.80/1.18 { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.80/1.18 { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.80/1.18 { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.80/1.18 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.80/1.18 , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.18 { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) =
% 0.80/1.18 a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.80/1.18 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U )
% 0.80/1.18 = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.80/1.18 { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.80/1.18 { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.80/1.18 { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.80/1.18 { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.80/1.18 { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) =
% 0.80/1.18 a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.80/1.18 { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.80/1.18 ( X, Y ) }.
% 0.80/1.18 { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.80/1.18 { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.80/1.18 { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.80/1.18 { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.80/1.18 ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.80/1.18 , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.18 { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) =
% 0.80/1.18 a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T,
% 0.80/1.18 Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U )
% 0.80/1.18 = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.80/1.18 { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.80/1.18 { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.80/1.18 { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.80/1.18 { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.80/1.18 { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) =
% 0.80/1.18 a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.80/1.18 { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.80/1.18 ( X, Y ) }.
% 0.80/1.18 { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.80/1.18 { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.80/1.18 { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.80/1.18 { alpha17( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.80/1.18 , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans(
% 0.80/1.18 U ) ) ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.80/1.18 , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.80/1.18 ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.80/1.18 { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.80/1.18 { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.80/1.18 { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.80/1.18 { alpha18( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.80/1.18 ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.80/1.18 , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans(
% 0.80/1.18 W ) ) ), T, Z ) }.
% 0.80/1.18 { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.80/1.18 , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), !
% 0.80/1.18 leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.80/1.18 ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.80/1.18 { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.80/1.18 { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.80/1.18 { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.80/1.18 { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol24( Z, T )
% 0.80/1.18 ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ),
% 0.80/1.18 a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul(
% 0.80/1.18 V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.80/1.18 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.80/1.18 ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.80/1.18 , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.80/1.18 ) }.
% 0.80/1.18 { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z,
% 0.80/1.18 T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.80/1.18 leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X,
% 0.80/1.18 tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans(
% 0.80/1.18 V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.80/1.18 ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.80/1.18 ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.80/1.18 ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.80/1.18 { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.80/1.18 { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.80/1.18 { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.80/1.18 { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.80/1.18 { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) =
% 0.80/1.18 a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.80/1.18 { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ),
% 0.80/1.18 alpha19( X, Y ) }.
% 0.80/1.18 { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.80/1.18 { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.80/1.18 { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.80/1.18 { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.80/1.18 { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) =
% 0.80/1.18 a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.80/1.18 { ! alpha28( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.80/1.18 ), alpha8( X ) }.
% 0.80/1.18 { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.80/1.18 { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.80/1.18 { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.80/1.18 { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.80/1.18 { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.80/1.18 { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.80/1.18 { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.80/1.18 { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.80/1.18 { succ( tptp_minus_1 ) = n0 }.
% 0.80/1.18 { plus( X, n1 ) = succ( X ) }.
% 0.80/1.18 { plus( n1, X ) = succ( X ) }.
% 0.80/1.18 { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.80/1.18 { plus( n2, X ) = succ( succ( X ) ) }.
% 0.80/1.18 { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.18 { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.80/1.18 { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.80/1.18 { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.80/1.18 { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.80/1.18 { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.80/1.18 { minus( X, n1 ) = pred( X ) }.
% 0.80/1.18 { pred( succ( X ) ) = X }.
% 0.80/1.18 { succ( pred( X ) ) = X }.
% 0.80/1.18 { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.80/1.18 { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.80/1.18 { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.80/1.18 { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.80/1.18 { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.80/1.18 { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.80/1.18 , Y, V0 ), Z, T ) = W }.
% 0.80/1.18 { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq(
% 0.80/1.18 n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.80/1.18 }.
% 0.80/1.18 { alpha21( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.80/1.18 , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3(
% 0.80/1.18 U, Z, T, W ), X, Y ) = W }.
% 0.80/1.18 { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq(
% 0.80/1.18 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 0.80/1.18 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.80/1.18 { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.80/1.18 { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.80/1.18 { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.80/1.18 { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.80/1.18 { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.80/1.18 { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.80/1.18 { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.80/1.18 T }.
% 0.80/1.18 { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.80/1.18 tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.18 { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2(
% 0.80/1.18 tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.18 { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ),
% 0.80/1.18 a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.80/1.18 { true }.
% 0.80/1.18 { ! def = use }.
% 0.80/1.18 { leq( tptp_float_0_001, pv1341 ) }.
% 0.80/1.18 { leq( n1, loopcounter ) }.
% 0.80/1.18 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_best7 ) }.
% 0.80/1.18 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_sworst7 ) }.
% 0.80/1.18 { leq( tptp_float_0_001, pv1341 ), leq( n0, s_worst7 ) }.
% 0.80/1.18 { leq( tptp_float_0_001, pv1341 ), leq( s_best7, n3 ) }.
% 0.80/1.18 { leq( tptp_float_0_001, pv1341 ), leq( s_sworst7, n3 ) }.
% 0.80/1.18 { leq( tptp_float_0_001, pv1341 ), leq( s_worst7, n3 ) }.
% 0.80/1.18 { ! gt( loopcounter, n0 ), leq( n0, s_best7 ) }.
% 0.80/1.18 { ! gt( loopcounter, n0 ), leq( n0, s_sworst7 ) }.
% 0.80/1.18 { ! gt( loopcounter, n0 ), leq( n0, s_worst7 ) }.
% 0.80/1.18 { ! gt( loopcounter, n0 ), leq( s_best7, n3 ) }.
% 0.80/1.18 { ! gt( loopcounter, n0 ), leq( s_sworst7, n3 ) }.
% 0.80/1.18 { ! gt( loopcounter, n0 ), leq( s_worst7, n3 ) }.
% 0.80/1.18 { ! leq( n0, s_sworst7 ) }.
% 0.80/1.18 { gt( n5, n4 ) }.
% 0.80/1.18 { gt( n4, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n5, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n0, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n1, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n2, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n3, tptp_minus_1 ) }.
% 0.80/1.18 { gt( n4, n0 ) }.
% 0.80/1.18 { gt( n5, n0 ) }.
% 0.80/1.18 { gt( n1, n0 ) }.
% 0.80/1.18 { gt( n2, n0 ) }.
% 0.80/1.18 { gt( n3, n0 ) }.
% 0.80/1.18 { gt( n4, n1 ) }.
% 0.80/1.18 { gt( n5, n1 ) }.
% 0.80/1.18 { gt( n2, n1 ) }.
% 0.80/1.18 { gt( n3, n1 ) }.
% 0.80/1.18 { gt( n4, n2 ) }.
% 0.80/1.18 { gt( n5, n2 ) }.
% 0.80/1.18 { gt( n3, n2 ) }.
% 0.80/1.18 { gt( n4, n3 ) }.
% 0.80/1.18 { gt( n5, n3 ) }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.80/1.18 .
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.80/1.18 = n5 }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.80/1.18 { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.80/1.18 { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.80/1.18 { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.80/1.18 { succ( n0 ) = n1 }.
% 0.80/1.18 { succ( succ( n0 ) ) = n2 }.
% 0.80/1.18 { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.80/1.18
% 0.80/1.18 percentage equality = 0.177778, percentage horn = 0.867925
% 0.80/1.18 This is a problem with some equality
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18
% 0.80/1.18 Options Used:
% 0.80/1.18
% 0.80/1.18 useres = 1
% 0.80/1.18 useparamod = 1
% 0.80/1.18 useeqrefl = 1
% 0.80/1.18 useeqfact = 1
% 0.80/1.18 usefactor = 1
% 0.80/1.18 usesimpsplitting = 0
% 0.80/1.18 usesimpdemod = 5
% 0.80/1.18 usesimpres = 3
% 0.80/1.18
% 0.80/1.18 resimpinuse = 1000
% 0.80/1.18 resimpclauses = 20000
% 0.80/1.18 substype = eqrewr
% 0.80/1.18 backwardsubs = 1
% 0.80/1.18 selectoldest = 5
% 0.80/1.18
% 0.80/1.18 litorderings [0] = split
% 0.80/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.18
% 0.80/1.18 termordering = kbo
% 0.80/1.18
% 0.80/1.18 litapriori = 0
% 0.80/1.18 termapriori = 1
% 0.80/1.18 litaposteriori = 0
% 0.80/1.18 termaposteriori = 0
% 0.80/1.18 demodaposteriori = 0
% 0.80/1.18 ordereqreflfact = 0
% 0.80/1.18
% 0.80/1.18 litselect = negord
% 0.80/1.18
% 0.80/1.18 maxweight = 15
% 0.80/1.18 maxdepth = 30000
% 0.80/1.18 maxlength = 115
% 0.80/1.18 maxnrvars = 195
% 0.80/1.18 excuselevel = 1
% 0.80/1.18 increasemaxweight = 1
% 0.80/1.18
% 0.80/1.18 maxselected = 10000000
% 0.80/1.18 maxnrclauses = 10000000
% 0.80/1.18
% 0.80/1.18 showgenerated = 0
% 0.80/1.18 showkept = 0
% 0.80/1.18 showselected = 0
% 0.80/1.18 showdeleted = 0
% 0.80/1.18 showresimp = 1
% 0.80/1.18 showstatus = 2000
% 0.80/1.18
% 0.80/1.18 prologoutput = 0
% 0.80/1.18 nrgoals = 5000000
% 0.80/1.18 totalproof = 1
% 0.80/1.18
% 0.80/1.18 Symbols occurring in the translation:
% 0.80/1.18
% 0.80/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.18 . [1, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.80/1.18 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.80/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.18 gt [37, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.80/1.18 leq [39, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.80/1.18 lt [40, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.80/1.18 geq [41, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.80/1.18 pred [42, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.80/1.18 succ [43, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.80/1.18 n0 [45, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.80/1.18 uniform_int_rnd [46, 2] (w:1, o:117, a:1, s:1, b:0),
% 1.74/2.11 dim [51, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.74/2.11 tptp_const_array1 [52, 2] (w:1, o:113, a:1, s:1, b:0),
% 1.74/2.11 a_select2 [53, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.74/2.11 tptp_const_array2 [59, 3] (w:1, o:140, a:1, s:1, b:0),
% 1.74/2.11 a_select3 [60, 3] (w:1, o:141, a:1, s:1, b:0),
% 1.74/2.11 trans [63, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.74/2.11 inv [64, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.74/2.11 tptp_update3 [67, 4] (w:1, o:158, a:1, s:1, b:0),
% 1.74/2.11 tptp_madd [69, 2] (w:1, o:114, a:1, s:1, b:0),
% 1.74/2.11 tptp_msub [70, 2] (w:1, o:115, a:1, s:1, b:0),
% 1.74/2.11 tptp_mmul [71, 2] (w:1, o:116, a:1, s:1, b:0),
% 1.74/2.11 tptp_minus_1 [77, 0] (w:1, o:35, a:1, s:1, b:0),
% 1.74/2.11 sum [78, 3] (w:1, o:138, a:1, s:1, b:0),
% 1.74/2.11 tptp_float_0_0 [79, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.74/2.11 n1 [80, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.74/2.11 plus [81, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.74/2.11 n2 [82, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.74/2.11 n3 [83, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.74/2.11 n4 [84, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.74/2.11 n5 [85, 0] (w:1, o:41, a:1, s:1, b:0),
% 1.74/2.11 minus [86, 2] (w:1, o:121, a:1, s:1, b:0),
% 1.74/2.11 tptp_update2 [91, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.74/2.11 true [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.74/2.11 def [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.74/2.11 use [94, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.74/2.11 tptp_float_0_001 [95, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.74/2.11 pv1341 [96, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.74/2.11 loopcounter [97, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.74/2.11 s_best7 [98, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.74/2.11 s_sworst7 [99, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.74/2.11 s_worst7 [100, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.74/2.11 alpha1 [101, 2] (w:1, o:122, a:1, s:1, b:1),
% 1.74/2.11 alpha2 [102, 2] (w:1, o:128, a:1, s:1, b:1),
% 1.74/2.11 alpha3 [103, 2] (w:1, o:132, a:1, s:1, b:1),
% 1.74/2.11 alpha4 [104, 2] (w:1, o:133, a:1, s:1, b:1),
% 1.74/2.11 alpha5 [105, 2] (w:1, o:134, a:1, s:1, b:1),
% 1.74/2.11 alpha6 [106, 2] (w:1, o:135, a:1, s:1, b:1),
% 1.74/2.11 alpha7 [107, 2] (w:1, o:136, a:1, s:1, b:1),
% 1.74/2.11 alpha8 [108, 1] (w:1, o:60, a:1, s:1, b:1),
% 1.74/2.11 alpha9 [109, 2] (w:1, o:137, a:1, s:1, b:1),
% 1.74/2.11 alpha10 [110, 3] (w:1, o:143, a:1, s:1, b:1),
% 1.74/2.11 alpha11 [111, 3] (w:1, o:144, a:1, s:1, b:1),
% 1.74/2.11 alpha12 [112, 3] (w:1, o:145, a:1, s:1, b:1),
% 1.74/2.11 alpha13 [113, 2] (w:1, o:123, a:1, s:1, b:1),
% 1.74/2.11 alpha14 [114, 2] (w:1, o:124, a:1, s:1, b:1),
% 1.74/2.11 alpha15 [115, 2] (w:1, o:125, a:1, s:1, b:1),
% 1.74/2.11 alpha16 [116, 2] (w:1, o:126, a:1, s:1, b:1),
% 1.74/2.11 alpha17 [117, 3] (w:1, o:146, a:1, s:1, b:1),
% 1.74/2.11 alpha18 [118, 3] (w:1, o:147, a:1, s:1, b:1),
% 1.74/2.11 alpha19 [119, 2] (w:1, o:127, a:1, s:1, b:1),
% 1.74/2.11 alpha20 [120, 2] (w:1, o:129, a:1, s:1, b:1),
% 1.74/2.11 alpha21 [121, 3] (w:1, o:148, a:1, s:1, b:1),
% 1.74/2.11 alpha22 [122, 3] (w:1, o:149, a:1, s:1, b:1),
% 1.74/2.11 alpha23 [123, 3] (w:1, o:150, a:1, s:1, b:1),
% 1.74/2.11 alpha24 [124, 3] (w:1, o:151, a:1, s:1, b:1),
% 1.74/2.11 alpha25 [125, 3] (w:1, o:152, a:1, s:1, b:1),
% 1.74/2.11 alpha26 [126, 2] (w:1, o:130, a:1, s:1, b:1),
% 1.74/2.11 alpha27 [127, 2] (w:1, o:131, a:1, s:1, b:1),
% 1.74/2.11 alpha28 [128, 3] (w:1, o:153, a:1, s:1, b:1),
% 1.74/2.11 alpha29 [129, 3] (w:1, o:154, a:1, s:1, b:1),
% 1.74/2.11 alpha30 [130, 3] (w:1, o:155, a:1, s:1, b:1),
% 1.74/2.11 skol1 [131, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.74/2.11 skol2 [132, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.74/2.11 skol3 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.74/2.11 skol4 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.74/2.11 skol5 [135, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.74/2.11 skol6 [136, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.74/2.11 skol7 [137, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.74/2.11 skol8 [138, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.74/2.11 skol9 [139, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.74/2.11 skol10 [140, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.74/2.11 skol11 [141, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.74/2.11 skol12 [142, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.74/2.11 skol13 [143, 4] (w:1, o:156, a:1, s:1, b:1),
% 1.74/2.11 skol14 [144, 3] (w:1, o:139, a:1, s:1, b:1),
% 1.74/2.11 skol15 [145, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.74/2.11 skol16 [146, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.74/2.11 skol17 [147, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.74/2.11 skol18 [148, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.74/2.11 skol19 [149, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.74/2.11 skol20 [150, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.74/2.11 skol21 [151, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.74/2.11 skol22 [152, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.74/2.11 skol23 [153, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.74/2.11 skol24 [154, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.74/2.11 skol25 [155, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.74/2.11 skol26 [156, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.74/2.11 skol27 [157, 4] (w:1, o:157, a:1, s:1, b:1),
% 1.74/2.11 skol28 [158, 1] (w:1, o:57, a:1, s:1, b:1).
% 1.74/2.11
% 1.74/2.11
% 1.74/2.11 Starting Search:
% 1.74/2.11
% 1.74/2.11 *** allocated 15000 integers for clauses
% 1.74/2.11 *** allocated 22500 integers for clauses
% 1.74/2.11 *** allocated 15000 integers for termspace/termends
% 1.74/2.11 *** allocated 33750 integers for clauses
% 1.74/2.11 *** allocated 22500 integers for termspace/termends
% 1.74/2.11 *** allocated 50625 integers for clauses
% 1.74/2.11 *** allocated 75937 integers for clauses
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 *** allocated 33750 integers for termspace/termends
% 1.74/2.11 *** allocated 113905 integers for clauses
% 1.74/2.11 *** allocated 50625 integers for termspace/termends
% 1.74/2.11
% 1.74/2.11 Intermediate Status:
% 1.74/2.11 Generated: 8009
% 1.74/2.11 Kept: 2046
% 1.74/2.11 Inuse: 186
% 1.74/2.11 Deleted: 0
% 1.74/2.11 Deletedinuse: 0
% 1.74/2.11
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 *** allocated 170857 integers for clauses
% 1.74/2.11 *** allocated 75937 integers for termspace/termends
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 *** allocated 113905 integers for termspace/termends
% 1.74/2.11 *** allocated 256285 integers for clauses
% 1.74/2.11
% 1.74/2.11 Intermediate Status:
% 1.74/2.11 Generated: 17142
% 1.74/2.11 Kept: 4046
% 1.74/2.11 Inuse: 349
% 1.74/2.11 Deleted: 0
% 1.74/2.11 Deletedinuse: 0
% 1.74/2.11
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 *** allocated 170857 integers for termspace/termends
% 1.74/2.11 *** allocated 384427 integers for clauses
% 1.74/2.11
% 1.74/2.11 Intermediate Status:
% 1.74/2.11 Generated: 23759
% 1.74/2.11 Kept: 6098
% 1.74/2.11 Inuse: 471
% 1.74/2.11 Deleted: 0
% 1.74/2.11 Deletedinuse: 0
% 1.74/2.11
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 *** allocated 256285 integers for termspace/termends
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11
% 1.74/2.11 Intermediate Status:
% 1.74/2.11 Generated: 31664
% 1.74/2.11 Kept: 8192
% 1.74/2.11 Inuse: 581
% 1.74/2.11 Deleted: 0
% 1.74/2.11 Deletedinuse: 0
% 1.74/2.11
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 *** allocated 576640 integers for clauses
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11
% 1.74/2.11 Intermediate Status:
% 1.74/2.11 Generated: 36704
% 1.74/2.11 Kept: 10323
% 1.74/2.11 Inuse: 741
% 1.74/2.11 Deleted: 0
% 1.74/2.11 Deletedinuse: 0
% 1.74/2.11
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 *** allocated 384427 integers for termspace/termends
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11
% 1.74/2.11 Intermediate Status:
% 1.74/2.11 Generated: 45115
% 1.74/2.11 Kept: 12487
% 1.74/2.11 Inuse: 819
% 1.74/2.11 Deleted: 16
% 1.74/2.11 Deletedinuse: 14
% 1.74/2.11
% 1.74/2.11 Resimplifying inuse:
% 1.74/2.11 Done
% 1.74/2.11
% 1.74/2.11 *** allocated 864960 integers for clauses
% 1.74/2.11
% 1.74/2.11 Bliksems!, er is een bewijs:
% 1.74/2.11 % SZS status Theorem
% 1.74/2.11 % SZS output start Refutation
% 1.74/2.11
% 1.74/2.11 (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.74/2.11 (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.74/2.11 (174) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq( n0, s_sworst7 )
% 1.74/2.11 }.
% 1.74/2.11 (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, s_sworst7 ) }.
% 1.74/2.11 (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.74/2.11 (13067) {G1,W3,D2,L1,V0,M1} S(174);r(179) { ! gt( loopcounter, n0 ) }.
% 1.74/2.11 (13068) {G2,W0,D0,L0,V0,M0} R(13067,151);d(209);r(172) { }.
% 1.74/2.11
% 1.74/2.11
% 1.74/2.11 % SZS output end Refutation
% 1.74/2.11 found a proof!
% 1.74/2.11
% 1.74/2.11
% 1.74/2.11 Unprocessed initial clauses:
% 1.74/2.11
% 1.74/2.11 (13070) {G0,W9,D2,L3,V2,M3} { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.74/2.11 (13071) {G0,W9,D2,L3,V3,M3} { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.74/2.11 (13072) {G0,W3,D2,L1,V1,M1} { ! gt( X, X ) }.
% 1.74/2.11 (13073) {G0,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 1.74/2.11 (13074) {G0,W9,D2,L3,V3,M3} { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.74/2.11 }.
% 1.74/2.11 (13075) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), gt( Y, X ) }.
% 1.74/2.11 (13076) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), lt( X, Y ) }.
% 1.74/2.11 (13077) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13078) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), geq( X, Y ) }.
% 1.74/2.11 (13079) {G0,W6,D2,L2,V2,M2} { ! gt( Y, X ), leq( X, Y ) }.
% 1.74/2.11 (13080) {G0,W9,D2,L3,V2,M3} { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.74/2.11 (13081) {G0,W7,D3,L2,V2,M2} { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.74/2.11 (13082) {G0,W7,D3,L2,V2,M2} { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.74/2.11 (13083) {G0,W4,D3,L1,V1,M1} { gt( succ( X ), X ) }.
% 1.74/2.11 (13084) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.74/2.11 (13085) {G0,W7,D3,L2,V2,M2} { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.74/2.11 (13086) {G0,W7,D3,L2,V2,M2} { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.74/2.11 (13087) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.74/2.11 , X ) }.
% 1.74/2.11 (13088) {G0,W8,D3,L2,V2,M2} { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.74/2.11 , X ) ) }.
% 1.74/2.11 (13089) {G0,W15,D5,L3,V4,M3} { ! leq( Y, X ), ! leq( X, Z ), a_select2(
% 1.74/2.11 tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.74/2.11 (13090) {G0,W25,D5,L5,V7,M5} { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.74/2.11 , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ),
% 1.74/2.11 V0 ), X, T ) = V0 }.
% 1.74/2.11 (13091) {G0,W31,D4,L6,V4,M6} { alpha10( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.74/2.11 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.74/2.11 ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.74/2.11 (13092) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.74/2.11 ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.11 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.74/2.11 = a_select3( trans( X ), T, Z ) }.
% 1.74/2.11 (13093) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 1.74/2.11 (13094) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13095) {G0,W7,D2,L2,V3,M2} { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13096) {G0,W13,D2,L4,V3,M4} { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha10( X, Y, Z ) }.
% 1.74/2.11 (13097) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13098) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13099) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13100) {G0,W31,D4,L6,V4,M6} { alpha11( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.74/2.11 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.74/2.11 ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.74/2.11 (13101) {G0,W40,D4,L6,V4,M6} { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.74/2.11 ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.11 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.74/2.11 a_select3( inv( X ), T, Z ) }.
% 1.74/2.11 (13102) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 1.74/2.11 (13103) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13104) {G0,W7,D2,L2,V3,M2} { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13105) {G0,W13,D2,L4,V3,M4} { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha11( X, Y, Z ) }.
% 1.74/2.11 (13106) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13107) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13108) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13109) {G0,W43,D4,L8,V6,M8} { alpha12( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.74/2.11 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.74/2.11 , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) =
% 1.74/2.11 a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.74/2.11 (13110) {G0,W52,D4,L8,V6,M8} { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.74/2.11 ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.11 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.74/2.11 , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.74/2.11 ( X, U, U, W ), T, Z ) }.
% 1.74/2.11 (13111) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 1.74/2.11 (13112) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13113) {G0,W7,D2,L2,V3,M2} { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13114) {G0,W13,D2,L4,V3,M4} { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha12( X, Y, Z ) }.
% 1.74/2.11 (13115) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13116) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13117) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13118) {G0,W36,D4,L7,V5,M7} { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ),
% 1.74/2.11 skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.74/2.11 , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.74/2.11 ), U, T ) }.
% 1.74/2.11 (13119) {G0,W45,D4,L7,V5,M7} { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.74/2.11 ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), !
% 1.74/2.11 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.74/2.11 tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.74/2.11 (13120) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 1.74/2.11 (13121) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13122) {G0,W7,D2,L2,V3,M2} { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13123) {G0,W13,D2,L4,V3,M4} { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha22( X, Y, Z ) }.
% 1.74/2.11 (13124) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13125) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13126) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13127) {G0,W11,D3,L2,V2,M2} { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 1.74/2.11 , skol19( X, Y ) ) }.
% 1.74/2.11 (13128) {G0,W20,D4,L2,V2,M2} { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.74/2.11 , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.74/2.11 }.
% 1.74/2.11 (13129) {G0,W16,D3,L3,V4,M3} { ! alpha23( Y, Z, T ), a_select3( X, Z, T )
% 1.74/2.11 = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.74/2.11 (13130) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.74/2.11 (13131) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13132) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13133) {G0,W13,D2,L4,V3,M4} { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha23( X, Y, Z ) }.
% 1.74/2.11 (13134) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13135) {G0,W6,D2,L2,V2,M2} { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13136) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13137) {G0,W36,D4,L7,V5,M7} { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ),
% 1.74/2.11 skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.74/2.11 , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.74/2.11 ), U, T ) }.
% 1.74/2.11 (13138) {G0,W45,D4,L7,V5,M7} { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.74/2.11 ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), !
% 1.74/2.11 leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3(
% 1.74/2.11 tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.74/2.11 (13139) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.74/2.11 (13140) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13141) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13142) {G0,W13,D2,L4,V3,M4} { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha24( X, Y, Z ) }.
% 1.74/2.11 (13143) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13144) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13145) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13146) {G0,W11,D3,L2,V2,M2} { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 1.74/2.11 , skol21( X, Y ) ) }.
% 1.74/2.11 (13147) {G0,W20,D4,L2,V2,M2} { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.74/2.11 , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.74/2.11 }.
% 1.74/2.11 (13148) {G0,W16,D3,L3,V4,M3} { ! alpha25( Y, Z, T ), a_select3( X, Z, T )
% 1.74/2.11 = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.74/2.11 (13149) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.74/2.11 (13150) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13151) {G0,W7,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13152) {G0,W13,D2,L4,V3,M4} { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha25( X, Y, Z ) }.
% 1.74/2.11 (13153) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13154) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13155) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13156) {G0,W39,D6,L6,V5,M6} { alpha17( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.74/2.11 , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.74/2.11 ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3(
% 1.74/2.11 tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.74/2.11 (13157) {G0,W48,D6,L6,V5,M6} { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.74/2.11 ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.11 leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U,
% 1.74/2.11 tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.74/2.11 ( X, trans( U ) ) ), T, Z ) }.
% 1.74/2.11 (13158) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 1.74/2.11 (13159) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13160) {G0,W7,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13161) {G0,W13,D2,L4,V3,M4} { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha17( X, Y, Z ) }.
% 1.74/2.11 (13162) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13163) {G0,W6,D2,L2,V2,M2} { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13164) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13165) {G0,W39,D6,L6,V6,M6} { alpha18( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.74/2.11 , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.74/2.11 ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3(
% 1.74/2.11 tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.74/2.11 (13166) {G0,W48,D6,L6,V6,M6} { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.74/2.11 ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), !
% 1.74/2.11 leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W,
% 1.74/2.11 tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.74/2.11 ( X, trans( W ) ) ), T, Z ) }.
% 1.74/2.11 (13167) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 1.74/2.11 (13168) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13169) {G0,W7,D2,L2,V3,M2} { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.74/2.11 (13170) {G0,W13,D2,L4,V3,M4} { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.74/2.11 , X ), alpha18( X, Y, Z ) }.
% 1.74/2.11 (13171) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.74/2.11 (13172) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.74/2.11 (13173) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.74/2.11 ) }.
% 1.74/2.11 (13174) {G0,W72,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), alpha29( T,
% 1.74/2.11 skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq(
% 1.74/2.11 n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.74/2.11 ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.74/2.11 , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.74/2.11 ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1,
% 1.74/2.11 tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.74/2.11 ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.74/2.11 (13175) {G0,W81,D10,L8,V9,M8} { alpha8( Y ), alpha19( X, T ), ! a_select3
% 1.74/2.11 ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ),
% 1.74/2.11 skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.74/2.11 , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd(
% 1.74/2.11 tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.74/2.11 , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.74/2.11 , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.74/2.11 ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.74/2.11 ) ), W, U ) }.
% 1.74/2.11 (13176) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 1.74/2.11 (13177) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.74/2.11 (13178) {G0,W7,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.11 (13179) {G0,W13,D2,L4,V3,M4} { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.11 , X ), alpha29( X, Y, Z ) }.
% 1.76/2.11 (13180) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( n0, Y ) }.
% 1.76/2.11 (13181) {G0,W6,D2,L2,V2,M2} { ! alpha26( X, Y ), leq( Y, X ) }.
% 1.76/2.11 (13182) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 1.76/2.11 ) }.
% 1.76/2.11 (13183) {G0,W11,D3,L2,V2,M2} { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 1.76/2.11 ), skol25( X, Y ) ) }.
% 1.76/2.11 (13184) {G0,W20,D4,L2,V2,M2} { ! alpha19( X, Y ), ! a_select3( X, skol11(
% 1.76/2.11 X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.76/2.11 }.
% 1.76/2.11 (13185) {G0,W16,D3,L3,V4,M3} { ! alpha30( Y, Z, T ), a_select3( X, Z, T )
% 1.76/2.11 = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 1.76/2.11 (13186) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.76/2.11 (13187) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.11 (13188) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.11 (13189) {G0,W13,D2,L4,V3,M4} { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.11 , X ), alpha30( X, Y, Z ) }.
% 1.76/2.11 (13190) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.76/2.11 (13191) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.76/2.11 (13192) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.76/2.11 ) }.
% 1.76/2.11 (13193) {G0,W10,D3,L2,V2,M2} { ! alpha8( X ), alpha28( Y, skol12( X, Y ),
% 1.76/2.11 skol26( X, Y ) ) }.
% 1.76/2.11 (13194) {G0,W19,D4,L2,V2,M2} { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.76/2.11 ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.76/2.11 (13195) {G0,W16,D3,L3,V3,M3} { ! alpha28( skol28( X ), Y, Z ), a_select3(
% 1.76/2.11 X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.76/2.11 (13196) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 1.76/2.11 (13197) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 1.76/2.11 (13198) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 1.76/2.11 (13199) {G0,W13,D2,L4,V3,M4} { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.76/2.11 , X ), alpha28( X, Y, Z ) }.
% 1.76/2.11 (13200) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( n0, Y ) }.
% 1.76/2.11 (13201) {G0,W6,D2,L2,V2,M2} { ! alpha20( X, Y ), leq( Y, X ) }.
% 1.76/2.11 (13202) {G0,W9,D2,L3,V2,M3} { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 1.76/2.11 ) }.
% 1.76/2.11 (13203) {G0,W6,D3,L1,V1,M1} { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.76/2.11 (13204) {G0,W6,D3,L1,V1,M1} { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.76/2.11 }.
% 1.76/2.11 (13205) {G0,W4,D3,L1,V0,M1} { succ( tptp_minus_1 ) = n0 }.
% 1.76/2.11 (13206) {G0,W6,D3,L1,V1,M1} { plus( X, n1 ) = succ( X ) }.
% 1.76/2.11 (13207) {G0,W6,D3,L1,V1,M1} { plus( n1, X ) = succ( X ) }.
% 1.76/2.11 (13208) {G0,W7,D4,L1,V1,M1} { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.76/2.11 (13209) {G0,W7,D4,L1,V1,M1} { plus( n2, X ) = succ( succ( X ) ) }.
% 1.76/2.11 (13210) {G0,W8,D5,L1,V1,M1} { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.76/2.11 }.
% 1.76/2.11 (13211) {G0,W8,D5,L1,V1,M1} { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.76/2.11 }.
% 1.76/2.11 (13212) {G0,W9,D6,L1,V1,M1} { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.76/2.11 ) ) ) }.
% 1.76/2.11 (13213) {G0,W9,D6,L1,V1,M1} { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.76/2.11 ) ) ) }.
% 1.76/2.11 (13214) {G0,W10,D7,L1,V1,M1} { plus( X, n5 ) = succ( succ( succ( succ(
% 1.76/2.11 succ( X ) ) ) ) ) }.
% 1.76/2.11 (13215) {G0,W10,D7,L1,V1,M1} { plus( n5, X ) = succ( succ( succ( succ(
% 1.76/2.11 succ( X ) ) ) ) ) }.
% 1.76/2.11 (13216) {G0,W6,D3,L1,V1,M1} { minus( X, n1 ) = pred( X ) }.
% 1.76/2.11 (13217) {G0,W5,D4,L1,V1,M1} { pred( succ( X ) ) = X }.
% 1.76/2.11 (13218) {G0,W5,D4,L1,V1,M1} { succ( pred( X ) ) = X }.
% 1.76/2.11 (13219) {G0,W8,D3,L2,V2,M2} { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.76/2.11 }.
% 1.76/2.11 (13220) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.76/2.11 }.
% 1.76/2.11 (13221) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.76/2.11 (13222) {G0,W8,D3,L2,V2,M2} { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.76/2.11 (13223) {G0,W10,D4,L1,V4,M1} { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.76/2.11 ) = T }.
% 1.76/2.11 (13224) {G0,W22,D4,L4,V7,M4} { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.76/2.11 , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.76/2.11 (13225) {G0,W29,D4,L6,V9,M6} { leq( skol27( V0, T, V1, V2 ), T ), ! leq(
% 1.76/2.11 n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3(
% 1.76/2.11 tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.76/2.11 (13226) {G0,W34,D4,L6,V6,M6} { alpha21( Z, skol13( Z, T, U, W ), skol27( Z
% 1.76/2.11 , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.76/2.11 ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.76/2.11 (13227) {G0,W36,D4,L6,V6,M6} { ! a_select3( U, skol13( Z, T, U, W ),
% 1.76/2.11 skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.76/2.11 , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.76/2.11 (13228) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 1.76/2.11 (13229) {G0,W7,D2,L2,V3,M2} { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 1.76/2.11 (13230) {G0,W10,D2,L3,V3,M3} { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 1.76/2.11 , Y, Z ) }.
% 1.76/2.11 (13231) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.76/2.11 (13232) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.76/2.11 (13233) {G0,W9,D2,L3,V2,M3} { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.76/2.11 ) }.
% 1.76/2.11 (13234) {G0,W8,D4,L1,V3,M1} { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.76/2.11 }.
% 1.76/2.11 (13235) {G0,W16,D4,L3,V5,M3} { X = Y, ! a_select2( Z, Y ) = T, a_select2(
% 1.76/2.11 tptp_update2( Z, X, U ), Y ) = T }.
% 1.76/2.11 (13236) {G0,W20,D4,L4,V7,M4} { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.76/2.12 ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.76/2.12 (13237) {G0,W20,D4,L4,V6,M4} { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.76/2.12 , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.76/2.12 (13238) {G0,W22,D4,L4,V4,M4} { ! a_select2( Z, skol14( Y, Z, T ) ) = T, !
% 1.76/2.12 leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.76/2.12 }.
% 1.76/2.12 (13239) {G0,W1,D1,L1,V0,M1} { true }.
% 1.76/2.12 (13240) {G0,W3,D2,L1,V0,M1} { ! def = use }.
% 1.76/2.12 (13241) {G0,W3,D2,L1,V0,M1} { leq( tptp_float_0_001, pv1341 ) }.
% 1.76/2.12 (13242) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 1.76/2.12 (13243) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.76/2.12 s_best7 ) }.
% 1.76/2.12 (13244) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.76/2.12 s_sworst7 ) }.
% 1.76/2.12 (13245) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq( n0,
% 1.76/2.12 s_worst7 ) }.
% 1.76/2.12 (13246) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.76/2.12 s_best7, n3 ) }.
% 1.76/2.12 (13247) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.76/2.13 s_sworst7, n3 ) }.
% 1.76/2.13 (13248) {G0,W6,D2,L2,V0,M2} { leq( tptp_float_0_001, pv1341 ), leq(
% 1.76/2.13 s_worst7, n3 ) }.
% 1.76/2.13 (13249) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_best7 )
% 1.76/2.13 }.
% 1.76/2.13 (13250) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_sworst7
% 1.76/2.13 ) }.
% 1.76/2.13 (13251) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0, s_worst7 )
% 1.76/2.13 }.
% 1.76/2.13 (13252) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_best7, n3 )
% 1.76/2.13 }.
% 1.76/2.13 (13253) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_sworst7, n3
% 1.76/2.13 ) }.
% 1.76/2.13 (13254) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( s_worst7, n3 )
% 1.76/2.13 }.
% 1.76/2.13 (13255) {G0,W3,D2,L1,V0,M1} { ! leq( n0, s_sworst7 ) }.
% 1.76/2.13 (13256) {G0,W3,D2,L1,V0,M1} { gt( n5, n4 ) }.
% 1.76/2.13 (13257) {G0,W3,D2,L1,V0,M1} { gt( n4, tptp_minus_1 ) }.
% 1.76/2.13 (13258) {G0,W3,D2,L1,V0,M1} { gt( n5, tptp_minus_1 ) }.
% 1.76/2.13 (13259) {G0,W3,D2,L1,V0,M1} { gt( n0, tptp_minus_1 ) }.
% 1.76/2.13 (13260) {G0,W3,D2,L1,V0,M1} { gt( n1, tptp_minus_1 ) }.
% 1.76/2.13 (13261) {G0,W3,D2,L1,V0,M1} { gt( n2, tptp_minus_1 ) }.
% 1.76/2.13 (13262) {G0,W3,D2,L1,V0,M1} { gt( n3, tptp_minus_1 ) }.
% 1.76/2.13 (13263) {G0,W3,D2,L1,V0,M1} { gt( n4, n0 ) }.
% 1.76/2.13 (13264) {G0,W3,D2,L1,V0,M1} { gt( n5, n0 ) }.
% 1.76/2.13 (13265) {G0,W3,D2,L1,V0,M1} { gt( n1, n0 ) }.
% 1.76/2.13 (13266) {G0,W3,D2,L1,V0,M1} { gt( n2, n0 ) }.
% 1.76/2.13 (13267) {G0,W3,D2,L1,V0,M1} { gt( n3, n0 ) }.
% 1.76/2.13 (13268) {G0,W3,D2,L1,V0,M1} { gt( n4, n1 ) }.
% 1.76/2.13 (13269) {G0,W3,D2,L1,V0,M1} { gt( n5, n1 ) }.
% 1.76/2.13 (13270) {G0,W3,D2,L1,V0,M1} { gt( n2, n1 ) }.
% 1.76/2.13 (13271) {G0,W3,D2,L1,V0,M1} { gt( n3, n1 ) }.
% 1.76/2.13 (13272) {G0,W3,D2,L1,V0,M1} { gt( n4, n2 ) }.
% 1.76/2.13 (13273) {G0,W3,D2,L1,V0,M1} { gt( n5, n2 ) }.
% 1.76/2.13 (13274) {G0,W3,D2,L1,V0,M1} { gt( n3, n2 ) }.
% 1.76/2.13 (13275) {G0,W3,D2,L1,V0,M1} { gt( n4, n3 ) }.
% 1.76/2.13 (13276) {G0,W3,D2,L1,V0,M1} { gt( n5, n3 ) }.
% 1.76/2.13 (13277) {G0,W21,D2,L7,V1,M7} { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.76/2.13 n1, X = n2, X = n3, X = n4 }.
% 1.76/2.13 (13278) {G0,W24,D2,L8,V1,M8} { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.76/2.13 n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.76/2.13 (13279) {G0,W9,D2,L3,V1,M3} { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.76/2.13 (13280) {G0,W12,D2,L4,V1,M4} { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.76/2.13 n1 }.
% 1.76/2.13 (13281) {G0,W15,D2,L5,V1,M5} { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.76/2.13 n1, X = n2 }.
% 1.76/2.13 (13282) {G0,W18,D2,L6,V1,M6} { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.76/2.13 n1, X = n2, X = n3 }.
% 1.76/2.13 (13283) {G0,W7,D6,L1,V0,M1} { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.76/2.13 (13284) {G0,W8,D7,L1,V0,M1} { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.76/2.13 n5 }.
% 1.76/2.13 (13285) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.76/2.13 (13286) {G0,W5,D4,L1,V0,M1} { succ( succ( n0 ) ) = n2 }.
% 1.76/2.13 (13287) {G0,W6,D5,L1,V0,M1} { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.76/2.13
% 1.76/2.13
% 1.76/2.13 Total Proof:
% 1.76/2.13
% 1.76/2.13 subsumption: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X
% 1.76/2.13 ) }.
% 1.76/2.13 parent0: (13221) {G0,W7,D3,L2,V2,M2} { ! leq( succ( X ), Y ), gt( Y, X )
% 1.76/2.13 }.
% 1.76/2.13 substitution0:
% 1.76/2.13 X := X
% 1.76/2.13 Y := Y
% 1.76/2.13 end
% 1.76/2.13 permutation0:
% 1.76/2.13 0 ==> 0
% 1.76/2.13 1 ==> 1
% 1.76/2.13 end
% 1.76/2.13
% 1.76/2.13 subsumption: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.76/2.13 parent0: (13242) {G0,W3,D2,L1,V0,M1} { leq( n1, loopcounter ) }.
% 1.76/2.13 substitution0:
% 1.76/2.13 end
% 1.76/2.13 permutation0:
% 1.76/2.14 0 ==> 0
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 subsumption: (174) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq( n0
% 1.76/2.14 , s_sworst7 ) }.
% 1.76/2.14 parent0: (13250) {G0,W6,D2,L2,V0,M2} { ! gt( loopcounter, n0 ), leq( n0,
% 1.76/2.14 s_sworst7 ) }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 permutation0:
% 1.76/2.14 0 ==> 0
% 1.76/2.14 1 ==> 1
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 *** allocated 576640 integers for termspace/termends
% 1.76/2.14 subsumption: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, s_sworst7 ) }.
% 1.76/2.14 parent0: (13255) {G0,W3,D2,L1,V0,M1} { ! leq( n0, s_sworst7 ) }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 permutation0:
% 1.76/2.14 0 ==> 0
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 subsumption: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.76/2.14 parent0: (13285) {G0,W4,D3,L1,V0,M1} { succ( n0 ) = n1 }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 permutation0:
% 1.76/2.14 0 ==> 0
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 resolution: (15915) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 1.76/2.14 parent0[0]: (179) {G0,W3,D2,L1,V0,M1} I { ! leq( n0, s_sworst7 ) }.
% 1.76/2.14 parent1[1]: (174) {G0,W6,D2,L2,V0,M2} I { ! gt( loopcounter, n0 ), leq( n0
% 1.76/2.14 , s_sworst7 ) }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 substitution1:
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 subsumption: (13067) {G1,W3,D2,L1,V0,M1} S(174);r(179) { ! gt( loopcounter
% 1.76/2.14 , n0 ) }.
% 1.76/2.14 parent0: (15915) {G1,W3,D2,L1,V0,M1} { ! gt( loopcounter, n0 ) }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 permutation0:
% 1.76/2.14 0 ==> 0
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 resolution: (15917) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ), loopcounter )
% 1.76/2.14 }.
% 1.76/2.14 parent0[0]: (13067) {G1,W3,D2,L1,V0,M1} S(174);r(179) { ! gt( loopcounter,
% 1.76/2.14 n0 ) }.
% 1.76/2.14 parent1[1]: (151) {G0,W7,D3,L2,V2,M2} I { ! leq( succ( X ), Y ), gt( Y, X )
% 1.76/2.14 }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 substitution1:
% 1.76/2.14 X := n0
% 1.76/2.14 Y := loopcounter
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 paramod: (15918) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 1.76/2.14 parent0[0]: (209) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 1.76/2.14 parent1[0; 2]: (15917) {G1,W4,D3,L1,V0,M1} { ! leq( succ( n0 ),
% 1.76/2.14 loopcounter ) }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 substitution1:
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 resolution: (15919) {G1,W0,D0,L0,V0,M0} { }.
% 1.76/2.14 parent0[0]: (15918) {G1,W3,D2,L1,V0,M1} { ! leq( n1, loopcounter ) }.
% 1.76/2.14 parent1[0]: (172) {G0,W3,D2,L1,V0,M1} I { leq( n1, loopcounter ) }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 substitution1:
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 subsumption: (13068) {G2,W0,D0,L0,V0,M0} R(13067,151);d(209);r(172) { }.
% 1.76/2.14 parent0: (15919) {G1,W0,D0,L0,V0,M0} { }.
% 1.76/2.14 substitution0:
% 1.76/2.14 end
% 1.76/2.14 permutation0:
% 1.76/2.14 end
% 1.76/2.14
% 1.76/2.14 Proof check complete!
% 1.76/2.14
% 1.76/2.14 Memory use:
% 1.76/2.14
% 1.76/2.14 space for terms: 327129
% 1.76/2.14 space for clauses: 581540
% 1.76/2.14
% 1.76/2.14
% 1.76/2.14 clauses generated: 46558
% 1.76/2.14 clauses kept: 13069
% 1.76/2.14 clauses selected: 839
% 1.76/2.14 clauses deleted: 17
% 1.76/2.14 clauses inuse deleted: 14
% 1.76/2.14
% 1.76/2.14 subsentry: 201993
% 1.76/2.14 literals s-matched: 68667
% 1.76/2.14 literals matched: 56823
% 1.76/2.14 full subsumption: 39326
% 1.76/2.14
% 1.76/2.14 checksum: 123679761
% 1.76/2.14
% 1.76/2.14
% 1.76/2.14 Bliksem ended
%------------------------------------------------------------------------------